Some closed formulas for canonical bases of Fock spaces

Details Some closed formulas for canonical bases of Fock spaces Some closed formulas for canonical bases of Fock spaces

2001-04-10

arxiv.org/abs/math/0104107v2

Mathematics

Quantum Algebra

22 pages

Scientific paper

We give some closed formulas for certain vectors of the canonical bases of
the Fock space representation of U_v(sl^_n). As a result, a combinatorial
description of certain parabolic Kazhdan-Lusztig polynomials for affine type A
is obtained.

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